λ
Harmonic Matrix

6,303,267

32 × 700363
Deficient Odd Composite

6,303,267 has digital root 9. The neighboring primes are 6303257 and 6303281; its proper-divisor sum differs from the starting integer by -3,501,802.

Prime Factor Structure

Factorization String 3^2 × 700363
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,104,732
Proper Divisor Sum 2,801,465
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6303257 ← → #6303281

Radix Representation

Decimal 6303267
Binary 11000000010111000100011 (23 bits)
Octal 0o30027043
Hexadecimal 0x602E23

Divisor Catalog (6)

1 3 9 700,363 2,101,089 6,303,267

Collatz Trajectory (90 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,303,267 18,909,802 9,454,901 28,364,704 14,182,352 7,091,176 3,545,588 1,772,794 886,397 2,659,192 1,329,596 664,798 332,399 997,198 498,599 1,495,798 747,899 2,243,698 1,121,849 3,365,548 1,682,774 841,387 2,524,162 1,262,081 3,786,244 1,893,122 946,561 2,839,684 1,419,842 709,921 2,129,764 1,064,882 532,441 1,597,324 798,662 399,331 1,197,994 598,997 1,796,992 898,496 449,248 224,624 112,312 56,156 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664

More profiles

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